Future Wind Power Have you ever wondered how much of the energy you use comes from wind power?

Can the growth of the number of wind farms in the United States be modeled by a linear function? Can you determine how much wind power will be needed in the future?

1. In 2012, the United States generated approximately 3.5% of its electricity from wind power. Approximately 4 billion kilowatt hours (kWh) of electricity was used.

a. A terawatt hour (TWh) is equal to 1,000,000,000 kilowatt hours. How many terawatt hours is equal to 4 trillion kilowatt hours? 4000

4000X1,000,000,000

b. How much of the electricity in 2012 came from wind power? Write your answer in terawatt hours.

3.5% came from wind power = 140(TWh)

c. You will be writing an equation which represents wind farm growth since 2012. What ordered pair can you use as your initial value?

Write a numerical expression that satisfies all of the following conditions. 1.)the only number used in the expression is 5 2.)at least one exponent other than 1 is used 3.)when the expression is evaluated, the answer is greater than 40 and less than 50

The description below represents function a and the table represents function b: function a the function is 5 more than 3 times x. function b x y −1 2 0 5 1 8 which statement is correct about the slope and y-intercept of the two functions? (1 point) their slopes are equal but y-intercepts are not equal. their slopes are not equal but y-intercepts are equal. both slopes and y intercepts are equal. neither slopes nor y-intercepts are equal.

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality